Exponential transient rotating waves in a bistable ring of unidirectionally coupled maps

被引：10

作者：

Horikawa, Yo ^{[1
]}

Kitajima, Hiroyuki ^{[1
]}

机构：

[1] Kagawa Univ, Fac Engn, Takamatsu, Kagawa 7610396, Japan

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2012年 / 241卷 / 02期

关键词：

Coupled map lattice; Rotating wave; Exponential transient; Power law distribution; Noise-sustained propagation; SPATIOTEMPORAL CHAOS; NEURAL-NETWORKS; STABLE STATES; SYSTEMS; DYNAMICS; ATTRACTORS; EQUATION;

D O I：

10.1016/j.physd.2011.10.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Properties of transient rotating waves in a bistable ring of unidirectionally coupled antisymmetric cubic maps are studied. A kinematical model shows that the duration of rotating waves increases exponentially with the number of elements. The probability density function of the duration of rotating waves generated under random initial conditions has a power law form up to a cut-off. In addition, spatiotemporal noise of intermediate intensity makes the duration of rotating waves increase. Further, rotating waves are stabilized through bifurcations of steady states as coupling strength increases. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：106 / 114

页数：9

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